Atkin-Lehner |
2- 3+ 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
41814d |
Isogeny class |
Conductor |
41814 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
28288 |
Modular degree for the optimal curve |
Δ |
-8220966912 = -1 · 217 · 33 · 23 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 -4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-395,5403] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-54:1] |
Generators of the group modulo torsion |
j |
-251837305875/304480256 |
j-invariant |
L |
7.4451058735523 |
L(r)(E,1)/r! |
Ω |
1.1856236880644 |
Real period |
R |
0.18469072806818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41814a1 |
Quadratic twists by: -3 |